Atkin-Lehner |
2- 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168bx |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-526258305466564608 = -1 · 216 · 320 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,117791,-31281407] |
[a1,a2,a3,a4,a6] |
j |
2757886702758428/8030064475503 |
j-invariant |
L |
0.60105726724484 |
L(r)(E,1)/r! |
Ω |
0.15026431715911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bs3 15792f4 |
Quadratic twists by: -4 8 |